GCF of 6080/522, 1617/2092
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6080/522, 1617/2092 i.e 1/546012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6080/522, 1617/2092.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6080/522,1617/2092?
Given fractions are 6080/522,1617/2092
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6080/522,1617/2092, numerators are 6080,1617
Denominators are 522,2092
The GCF of 6080,1617 is 1 .
LCM of 522,2092 is 546012.
The greatest common factor of 6080/522,1617/2092 = [GCF of 6080,1617]/[LCM of 522,2092]= 1/546012
Therefore, the GCF of 6080/522,1617/2092 is 1/546012.
To find the highest common factor of 6080,1617, we have to find the factors of both numbers and list the highest common factor.
The factors of 6080 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 64, 76, 80, 95, 152, 160, 190, 304, 320, 380, 608, 760, 1216, 1520, 3040, 6080
The factors of 1617 are 1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539, 1617
The HCF of 6080,1617 is 1.
Lets's calculate GCF of 6080,1617
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6080,1617 By Matching Biggest Common Factor Method
Now, list down the factors of 6080
:1,2,4,5,8,10,16,19,20,32,38,40,64,76,80,95,152,160,190,304,320,380,608,760,1216,1520,3040,6080
Now, list down the factors of 1617
:1,3,7,11,21,33,49,77,147,231,539,1617
Greatest Common Factor
We found the factors 6080,1617 . The biggest common factor number is the GCF number.
So the greatest common factor 6080,1617 is 1.
Lets's calculate LCM of 522,2092
| 2 | 522, 2092 |
| 261, 1046 |
∴ So the LCM of the given numbers is 2 x 261 x 1046 = 546012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/546012
Therefore, the GCF of Fractions 6080/522,1617/2092 is 1/546012
Least Common Multiple of 522,2092 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 522,2092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,2092) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(522,2092) x common factors =2 x 1 = 2
LCM(522,2092) = ( 522 × 2092 ) / 2
LCM(522,2092) = 1092024 / 2
LCM(522,2092) = 546012
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FAQs on GCF of Fractions of 6080/522, 1617/2092
1. What is the HCF of 6080,1617?
The HCF of 6080,1617 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6080/522, 1617/2092?
Answer: GCF of Numerators as per given numbers 6080/522, 1617/2092 is
GCF of Numerators i.e. for 6080,1617 is 1
LCM of denominators i.e. for 522,2092 is 546012.
Thus, GCF of Fractions is 1/546012.Finally, GCF of Fractions for 6080/522, 1617/2092 is 1/546012.